Factor out a fraction to complete the square and find the vertex

The video tutorial explains the process of completing the square to find the vertex of a quadratic equation. It covers factoring, handling fractions, and creating perfect square trinomials. The instructor emphasizes the importance of understanding each step, especially when dealing with fractions, to simplify the process. The tutorial concludes with finding the vertex and determining the parabola's direction.

What is the primary goal when completing the square?

• To find the y-intercept

• To eliminate fractions

• To create a binomial squared

• To solve for x

Why is it beneficial to factor out 1/2 in the expression?

• It makes the expression more complex

• It eliminates the need for further calculations

• It changes the equation to a linear form

• It simplifies the expression for easier manipulation

What is the value of B/2 squared in the given problem?

• 3

• 4

• 9

• 6

Why do we subtract 9 multiplied by 1/2 after adding 9 inside the parentheses?

• To eliminate the constant term

• To simplify the expression

• To maintain the balance of the equation

• To change the direction of the parabola

What is the final form of the expression after completing the square?

• y = 1/2 * (X + 3)^2 - 13/2

• y = 1/2 * (X - 3)^2 - 13/2

• y = 1/2 * (X + 3)^2 + 13/2

• y = 1/2 * (X - 3)^2 + 13/2

What is the vertex of the parabola in the final expression?

• (3, 13/2)

• (-3, 13/2)

• (3, -13/2)

• (-3, -13/2)

Does the parabola open upwards or downwards?

• Downwards

• Both

• Neither

• Upwards